A collocation method is adopted as a numerical framework to develop approximate inertial manifolds (AIMs) in the case of partial differential problems (e.g. reaction/diffusion models) containing non-polynomial nonlinearities. The spatial discretization, based on the collocation approach, is the starting point for the alternative construction of AIMs by means of a renormalization/decimation approach naturally derived from the incremental unknown method developed by Temam in a finite difference framework. (C) 2002 Elsevier Science Ltd. All rights reserved.
Construction of approximate inertial manifold by decimation of collocation equations of distributed parameter systems / Adrover, Alessandra; G., Continillo; S., Crescitelli; Giona, Massimiliano; L., Russo. - In: COMPUTERS & CHEMICAL ENGINEERING. - ISSN 0098-1354. - 26:1(2002), pp. 113-123. [10.1016/s0098-1354(01)00760-8]
Construction of approximate inertial manifold by decimation of collocation equations of distributed parameter systems
ADROVER, Alessandra;GIONA, Massimiliano;
2002
Abstract
A collocation method is adopted as a numerical framework to develop approximate inertial manifolds (AIMs) in the case of partial differential problems (e.g. reaction/diffusion models) containing non-polynomial nonlinearities. The spatial discretization, based on the collocation approach, is the starting point for the alternative construction of AIMs by means of a renormalization/decimation approach naturally derived from the incremental unknown method developed by Temam in a finite difference framework. (C) 2002 Elsevier Science Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
